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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2010.01839 |
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| _version_ | 1866918404514906112 |
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| author | Finski, Siarhei |
| author_facet | Finski, Siarhei |
| contents | This paper is devoted to the study of the asymptotics of Monge-Ampère volumes of direct images associated with high tensor powers of an ample line bundle. We study the leading term of this asymptotics and provide a classification of bundles saturating the topological bound of Demailly. In the special case of high symmetric powers of ample vector bundles, this provides a characterization of vector bundles admitting projectively flat Hermitian structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_01839 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On Monge-Ampère volumes of direct images Finski, Siarhei Differential Geometry Spectral Theory This paper is devoted to the study of the asymptotics of Monge-Ampère volumes of direct images associated with high tensor powers of an ample line bundle. We study the leading term of this asymptotics and provide a classification of bundles saturating the topological bound of Demailly. In the special case of high symmetric powers of ample vector bundles, this provides a characterization of vector bundles admitting projectively flat Hermitian structures. |
| title | On Monge-Ampère volumes of direct images |
| topic | Differential Geometry Spectral Theory |
| url | https://arxiv.org/abs/2010.01839 |